pls answer the 18th question
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given,
h,C and V are the height , curved surface area and the volume of the cone
we know that,
C=πrl
V=1/3 πr²h
l²=r²+h²
LHS=3πVh³-C²h²+9V²
=3π(1/3 πr²h)h³ -(πrl)²h²+9(1/3 πr²h)²
= π²r²h⁴-π²r²h²(r²+h²)+π²r⁴h²
=π²r²h⁴-π²r⁴h²-π²r²h⁴+π²r⁴h²
=0
Hence, LHS=RHS
Hence proved
HOPE IT IS HELPFUL
pls mark it as brainliest
h,C and V are the height , curved surface area and the volume of the cone
we know that,
C=πrl
V=1/3 πr²h
l²=r²+h²
LHS=3πVh³-C²h²+9V²
=3π(1/3 πr²h)h³ -(πrl)²h²+9(1/3 πr²h)²
= π²r²h⁴-π²r²h²(r²+h²)+π²r⁴h²
=π²r²h⁴-π²r⁴h²-π²r²h⁴+π²r⁴h²
=0
Hence, LHS=RHS
Hence proved
HOPE IT IS HELPFUL
pls mark it as brainliest
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